In a pulley mass experiment, you have two blocks of masses M₁ and M₂ are connected with an ideal string that passes over a massless and frictionless pulley. You noticed that after you releases the system, M, mass accelerates rightward. Now your goal is to make the system 1 move with constant speed. Determine the mass of m that can be placed over M, with which the system moves with constant speed. Assume the coefficient of friction between table and block is μ. m M₁ M₂

There is a block loaded with two 0.5 kg masses and is pulled at constant velocity across the table but with an applied force that is parallel to the surface of the table. theta = 0 because the force is of the same diraction as the displacement.  What are the magnitudes of the following forces:  Fg FN Ff

A system is made up of a pulley of radius a with no friction and mass , as well as a massless string of length L that is tied to some point masses m1 hanging on the left and some point masses m2 hanging on the right. Determine the system's acceleration by expressing it with a single degree of freedom.

Here we have a block of mass (m=2.50kg) resting on a place inclined at an angle of ø=30° to the horizontal. The coefficient of static friction between the block and the plane is Ustatic = 0.135 and the block is stationary but just on the point of sliding up the slope.  The diagram shows the four forces acting on the block: an applied force F1 acting up the slope, the block's weight mg, the normal reaction force N and the force of static friction, Ff. In this case, the force of static friction acts down the slope, opposing the tendency of the block to move up the slope. Find the the maximum magnitude of the applied force F1 that can be exerted if the block is to remain stationary.

Consider the setup shown below: a block with mass m1 sits on a table with friction coefficient ? between the table and itself, attached on one side to a spring with stiffness k, and on the other side to a cord with negligible mass that wraps over a frictionless pully and supports a second block with mass m2 that’s suspended in the air over the edge of the table. If the friction between block 1 and the table is not enough to hold up block 2 (so that the spring has to stretch), how far is the spring stretched when the system comes to rest?∆? = __________________________________________________________________??1?2  *Please write solution and process as much as possible like detail.

A 2-kg hanging mass (m,) is connected by a string over a pulley to a 20-kg block (m,) that is sliding on a 30° fixed inclined plane (see the figure below). If the pulley's mass and the mass of the string are negligible, and all surfaces are frictionless, the magnitude of the acceleration (in m/s?) of the moving system is: A. 7.14 В. 9.8 С. 5.93 D. 3.56 E. 0.48

A particle of mass m moves down the inner surface of a hemisphere without friction. Find the equations of motion.

A block of mass m = 3.59kg moves along the x-axis subject to a net force which depends on position. The force is Fner (x) = (-3.92x-1.49x³) î. The block is initially at x = Om moving with velocity = -3.73. (The input below will accept answers with no more than 1% variation from the correct value.) What is the smallest value of x the block reaches? m Hint: Calculate the work done as a function of x, and then solve the resulting quadratic expression for x². What is the block's speed when it reaches x = 1.62m? Ev